# Edit request Add topic "Conic section" Accepted

## Changes: 14

• ###### AddWhy slicing a cone gives an ellipse
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Why slicing a cone gives an ellipse
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2018-08-01
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Dandelin spheres, conic sections, and a view of genius in math.
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• ###### AddBut what is the Fourier Transform? A visual introduction.
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But what is the Fourier Transform? A visual introduction.
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2018-01-26
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An animated introduction to the Fourier Transform.
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Conic section
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In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type. The ancient Greek mathematicians studied conic sections, culminating around 200 BC with Apollonius of Perga's systematic work on their properties. The conic sections in the Euclidean plane have various distinguishing properties, many of which can be used as alternative definitions. One such property defines a non-circular conic to be the set of those points whose distances to some particular point, called a focus, and some particular line, called a directrix, are in a fixed ratio, called the eccentricity. The type of conic is determined by the value of the eccentricity.
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https://en.wikipedia.org/?curid=19008673
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Euclidean geometry
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Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated by earlier mathematicians, Euclid was the first to show how these propositions could fit into a comprehensive deductive and logical system. The Elements begins with plane geometry, still taught in secondary school (high school) as the first axiomatic system and the first examples of mathematical proofs. It goes on to the solid geometry of three dimensions. Much of the Elements states results of what are now called algebra and number theory, explained in geometrical language.
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https://en.wikipedia.org/?curid=9417
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Fourier transform
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In mathematics, a Fourier transform (FT) is a mathematical transform that decomposes functions depending on space or time into functions depending on spatial or temporal frequency, such as the expression of a musical chord in terms of the volumes and frequencies of its constituent notes. The term Fourier transform refers to both the frequency domain representation and the mathematical operation that associates the frequency domain representation to a function of space or time. The Fourier transform of a function of time is a complex-valued function of frequency, whose magnitude (absolute value) represents the amount of that frequency present in the original function, and whose argument is the phase offset of the basic sinusoid in that frequency. The Fourier transform is not limited to functions of time, but the domain of the original function is commonly referred to as the time domain.
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https://en.wikipedia.org/?curid=52247
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Geometry
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Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Gauss' Theorema Egregium (remarkable theorem) that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in an Euclidean space.
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https://en.wikipedia.org/?curid=18973446
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3Blue1Brown
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3Blue1Brown is a math YouTube channel created by Grant Sanderson. The channel focuses on higher mathematics with a distinct visual perspective. Topics covered include linear algebra, calculus, neural networks, the Riemann hypothesis, Fourier transform, quaternions and topology. As of April 2021, the channel has 3.59 million subscribers.
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https://en.wikipedia.org/?curid=58357050
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• ###### AddConic section is applicable toWhy slicing a cone gives an ellipse
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• ###### AddFourier transform is treated inBut what is the Fourier Transform? A visual introduction.
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• ###### Add3Blue1Brown createdWhy slicing a cone gives an ellipse
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• ###### Add3Blue1Brown createdBut what is the Fourier Transform? A visual introduction.
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• ###### AddGeometry a subtopic ofMathematics
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• ###### AddConic section a subtopic ofEuclidean geometry
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• ###### AddEuclidean geometry a version ofGeometry
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